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Finding the Fourth Proportional to 264.11, 394.40 and 261.24

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Solution

The fourth proportional to 264.11, 394.40 and 261.24 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 394.40 = 261.24 : x
  2. Step 2: Convert to fraction form
    264.11/394.40 = 261.24/x
  3. Step 3: Cross multiply
    264.11x = 394.40 × 261.24
  4. Step 4: Simplify right side
    264.11x = 103,033.06
  5. Step 5: Solve for x
    x = 103,033.06/264.11
  6. Step 6: Final answer
    x = 390.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.